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Pinning synchronization of complex delayed dynamical networks via generalized intermittent adaptive control strategy
Author(s) -
Liu Mei,
Jiang Haijun,
Hu Cheng,
Yu Zhiyong,
Li Zhanfeng
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4776
Subject(s) - aperiodic graph , intermittent control , synchronization (alternating current) , control theory (sociology) , piecewise , lyapunov function , adaptive control , scheme (mathematics) , computer science , mathematics , control (management) , topology (electrical circuits) , control engineering , nonlinear system , engineering , artificial intelligence , physics , mathematical analysis , combinatorics , quantum mechanics
Summary In this paper, the problem of pinning synchronization for delayed complex directed networks via generalized intermittent adaptive control strategy is considered. First, a dynamical mode of delayed network is investigated. Second, a generalized intermittent adaptive control strategy which unified the traditional periodic intermittent control and the aperiodic case is introduced. Additionally, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria to ensure the global synchronization of delayed complex networks based on the designed control protocols are obtained. Finally, an example with numerical simulations is provided to demonstrate the validness of the theoretical results proposed scheme.